An obtuse triangle, of which α is the obtuse angle, with its incircle, two cevians and two tangents. Find a relation between α and β.

Solution

2α-β=180.

In the triangle sticking out we have 2(180-α)+β=180.

Video

Please find here the video solution: Video: In and out.

An obtuse triangle, of which α is the obtuse angle, with its incircle, two cevians and two tangents. Find a relation between α and β. https://t.co/wPDLIRB21V pic.twitter.com/cm7VQGS76z

— Mirangu (@Mirangu1) February 27, 2024